A Rancher Wishes to Fence in a Rectangular Corral Enclosing $10 \sqrt { 10 } \times 13 \sqrt { 10 }$

question 20

Multiple Choice

A rancher wishes to fence in a rectangular corral enclosing 1300 square yards and must divide it in half with a fence down the middle. If the perimeter fence costs $5 per yard and the fence down the middle costs $3 per yard, determine the dimensions of the corral so that the fencing cost will be as small as possible.

• A) \(10 \sqrt { 10 } \times 13 \sqrt { 10 }\)
• B) \(13 \sqrt { 10 } \times 13 \sqrt { 10 }\)
• C) \(10 \sqrt { 13 } \times 13 \sqrt { 13 }\)
• D) \(10 \times 10\)
• E) \(10 \sqrt { 10 } \times 10 \sqrt { 10 }\)
• F) \(10 \sqrt { 10 } \times 13 \sqrt { 10 }\)
• G) \(10 \sqrt { 13 } \times 10 \sqrt { 13 }\)
• H) \(13 \times 13\)

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Definitions:

Yield To Maturity

The total return anticipated on a bond if the bond is held until it matures, factoring in both interest payments and the capital gain or loss realized upon maturity.

Coupon Rate

The interest rate that an issuer of a bond or other fixed-income security agrees to pay to the bondholder annually, expressed as a percentage of the bond's face value.

Every Three Months

A quarter-yearly interval, commonly used in the context of financial payments, reporting periods, or other scheduled events.

Coupon Payments

Regular interest payments made to bondholders as compensation for the investment and loan of capital.